Abstract

We prove some results on the uniqueness of entire functions sharing one or two finite values CM with their shifts or difference operators. Our results include shifted and difference analogues of the Brück conjecture.

Mathematics Subject Classification (2010)

Primary 30D35Secondary 39A05

This work is supported by NNSF of China (NO. 11171013) and Fundamental Research Funds for the Central Universities (NO. 300414).

Keywords

Brück conjectureShared valueDerivativeShiftDifference operator

References

1.

Brück R.: On entire functions which share one value CM with their first derivative. Results Math. 30, 21–24 (1996)MathSciNetMATHGoogle Scholar